Spectral analysis of polynomial potentials and its relation with ABJ/M-type theories

M. P. García del Moral; I. Martin; L. Navarro; A. J. Pérez A.; A. Restuccia

doi:10.1016/j.nuclphysb.2010.06.003

Spectral analysis of polynomial potentials and its relation with ABJ/M-type theories

High Energy Physics - Theory 2015-03-13 v2

Authors: M. P. García del Moral , I. Martin , L. Navarro , A. J. Pérez A. , A. Restuccia

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Abstract

We obtain a general class of polynomials for which the Schrodinger operator has a discrete spectrum. This class includes all the scalar potentials in membrane, 5-brane, p-branes, multiple M2 branes, BLG and ABJM theories. We provide a proof of the discreteness of the spectrum of the associated Schrodinger operators. This a a first step in order to analyze BLG and ABJM supersymmetric theories from a non-perturbative point of view.

Keywords

schrodinger operator discrete spectrum polynomial potentials membrane theories BLG theory ABJM theory non-perturbative analysis

Cite

@article{arxiv.0912.5529,
  title  = {Spectral analysis of polynomial potentials and its relation with ABJ/M-type theories},
  author = {M. P. García del Moral and I. Martin and L. Navarro and A. J. Pérez A. and A. Restuccia},
  journal= {arXiv preprint arXiv:0912.5529},
  year   = {2015}
}

Comments

17pg, Latex. Some more explanatory comments and references added.

Spectral analysis of polynomial potentials and its relation with ABJ/M-type theories

Abstract

Keywords

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